1101121120 has 48 divisors (see below), whose sum is σ = 2837893968. Its totient is φ = 400407040.

The previous prime is 1101121061. The next prime is 1101121121. The reversal of 1101121120 is 211211011.

1101121120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1101121097 and 1101121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311059 + ... + 314578.

It is an arithmetic number, because the mean of its divisors is an integer number (59122791).

Almost surely, 2^1101121120 is an apocalyptic number.

1101121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101121120 is an abundant number, since it is smaller than the sum of its proper divisors (1736772848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1101121120 is a wasteful number, since it uses less digits than its factorization.

1101121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625663 (or 625655 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1101121120 is about 33183.1451191716. The cubic root of 1101121120 is about 1032.6306963439.

Adding to 1101121120 its reverse (211211011), we get a palindrome (1312332131).

It can be divided in two parts, 11011 and 21120, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 1101121120 in words is "one billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".